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Finding the Fourth Proportional to 4,786.08, 7,180.47 and 2,011.29

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Solution

The fourth proportional to 4,786.08, 7,180.47 and 2,011.29 is: 3,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.08 : 7,180.47 = 2,011.29 : x
  2. Step 2: Convert to fraction form
    4,786.08/7,180.47 = 2,011.29/x
  3. Step 3: Cross multiply
    4,786.08x = 7,180.47 × 2,011.29
  4. Step 4: Simplify right side
    4,786.08x = 14,442,007.51
  5. Step 5: Solve for x
    x = 14,442,007.51/4,786.08
  6. Step 6: Final answer
    x = 3,017.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.